90828320 has 48 divisors (see below), whose sum is σ = 234093888. Its totient is φ = 33027840.

The previous prime is 90828313. The next prime is 90828323. The reversal of 90828320 is 2382809.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (90828323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24044 + ... + 27563.

It is an arithmetic number, because the mean of its divisors is an integer number (4876956).

Almost surely, 2^90828320 is an apocalyptic number.

It is an amenable number.

90828320 is an abundant number, since it is smaller than the sum of its proper divisors (143265568).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

90828320 is a wasteful number, since it uses less digits than its factorization.

90828320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51633 (or 51625 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The square root of 90828320 is about 9530.3892890060. The cubic root of 90828320 is about 449.5111069047.

The spelling of 90828320 in words is "ninety million, eight hundred twenty-eight thousand, three hundred twenty".